{"id":{"repo_id":"umn","oai_identifier":"oai:conservancy.umn.edu:11299/159853"},"canonical_url":"https://search.dev.ndltd.org/etd/umn/oai:conservancy.umn.edu:11299/159853","repository":{"repo_id":"umn","name":"University of Minnesota","base_url":"https://conservancy.umn.edu/server/oai/request"},"display":{"title":"Reflection arrangements and ribbon representations","abstract":"Ehrenborg and Jung recently related the order complex for the lattice of d-divisible partitions with the simplicial complex of pointed ordered set partitions via a homotopy equivalence. The latter has top homology naturally identified as a Specht module. Their work unifies that of Calderbank, Hanlon, Robinson, and Wachs. By focusing on the underlying geometry, we strengthen and extend these results from type A to all real reflection groups and the complex reflection groups known as Shephard groups.","abstract_html":"Ehrenborg and Jung recently related the order complex for the lattice of d-divisible partitions with the simplicial complex of pointed ordered set partitions via a homotopy equivalence. The latter has top homology naturally identified as a Specht module. Their work unifies that of Calderbank, Hanlon, Robinson, and Wachs. By focusing on the underlying geometry, we strengthen and extend these results from type A to all real reflection groups and the complex reflection groups known as Shephard groups.","abstract_has_math":false,"creators":["Miller, Alexander Rossi"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-09","date_published":"2013-09","updated_at":"2026-07-24T05:19:56Z","subjects":[],"languages":["en_US"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://purl.umn.edu/159853","outbound_label":"Repository record","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Miller, Alexander Rossi"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2013-11-06T18:44:55Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2013-11-06T18:44:55Z"]},{"key":"dc:date.issued","label":"Date","values":["2013-09"]},{"key":"dc:type","label":"Dc Type","values":["Thesis or Dissertation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://purl.umn.edu/159853"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["University of Minnesota Ph.D. dissertation. September 2013. Major: Mathematics. Advisor: Victor Reiner. 1 computer file (PDF); v, 57 pages."]},{"key":"dc:description.abstract","label":"Abstract","values":["Ehrenborg and Jung recently related the order complex for the lattice of d-divisible partitions with the simplicial complex of pointed ordered set partitions via a homotopy equivalence. The latter has top homology naturally identified as a Specht module. Their work unifies that of Calderbank, Hanlon, Robinson, and Wachs. By focusing on the underlying geometry, we strengthen and extend these results from type A to all real reflection groups and the complex reflection groups known as Shephard groups."]},{"key":"dc:title","label":"Title","values":["Reflection arrangements and ribbon representations"]}]}],"canonical_facts":{"dc:creator":["Miller, Alexander Rossi"],"dc:date.accessioned":["2013-11-06T18:44:55Z"],"dc:date.available":["2013-11-06T18:44:55Z"],"dc:date.issued":["2013-09"],"dc:description":["University of Minnesota Ph.D. dissertation. September 2013. Major: Mathematics. Advisor: Victor Reiner. 1 computer file (PDF); v, 57 pages."],"dc:description.abstract":["Ehrenborg and Jung recently related the order complex for the lattice of d-divisible partitions with the simplicial complex of pointed ordered set partitions via a homotopy equivalence. The latter has top homology naturally identified as a Specht module. Their work unifies that of Calderbank, Hanlon, Robinson, and Wachs. By focusing on the underlying geometry, we strengthen and extend these results from type A to all real reflection groups and the complex reflection groups known as Shephard groups."],"dc:identifier.uri":["http://purl.umn.edu/159853"],"dc:language.iso":["en_US"],"dc:title":["Reflection arrangements and ribbon representations"],"dc:type":["Thesis or Dissertation"]},"updated_at":"2026-07-24T05:19:56Z"}